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Finding the Third Proportional to 222,169 and 477,170

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Solution

The third proportional to 222,169 and 477,170 is: 1,024,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,169 : 477,170 = 477,170 : x
  2. Step 2: Convert to fraction form
    222,169/477,170 = 477,170/x
  3. Step 3: Cross multiply
    222,169x = 477,170 × 477,170
  4. Step 4: Simplify right side
    222,169x = 227,691,208,900
  5. Step 5: Solve for x
    x = 227,691,208,900/222,169
  6. Step 6: Final answer
    x = 1,024,855.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.